Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 10 - Compositions, Inverses, and Combinations of Functions - 10.3 Combinations of Functions - Exercises and Problems for Section 10.3 - Exercises and Problems - Page 420: 23

Answer

$$=\sin ^2\left(x\right)$$

Work Step by Step

Performing the given operation to create a composite function, we find: $$f=\sin \left(x\right),\:g=x^2,\:g\left(x\right)\:\circ \:f\left(x\right) \\ =\sin ^2\left(x\right)$$
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